According to the article above, "The Peters's factory at Kings Mills was closed by Remington in 1944."

According to this article, http://www.remington.com/Pages/Our-Company/Company-History.aspx, "1934 - On May 15, 1934 Remington purchased the Peters Cartridge Company. The Peters Cartridge Company operated an ammunition facility located in Kings Mill, Ohio."

One-piece boxes came into vogue in the late 30's. Remington introduced the pie-crimp immediately post WWII, about 1947 making the rollcrimp almost (but not quite) disappear overnight. I've never seen roll crimped ammo in that box; are you sure it's original to the box? Most of my collecting centers on the sub-gauges and i have very little experience with the 12's. I'd agree that they are from 1934-44.

Mike, I'm pretty sure that the shells are original to the box's. I have opened 4 and they all have the same shell in them. I am having to open them very carefully as the edges of the interlocking flaps are still very crisp and sharp, none have been torn so looks like the box's may never have been opened or opened very little. One thing my pictures do not show is the front and back of the box's are upside down from each other.

The shells themselves are in pretty good shape with some having some light to moderate corrosion where the paper meets the base.